In a certain year, when she was a high school senior, Idonna scored 672 on the m
ID: 3128876 • Letter: I
Question
In a certain year, when she was a high school senior, Idonna scored 672 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 507 and standard deviation 125. Jonathan took the ACT and scored 26 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 21.1 and standard deviation 5.3. Find the standardized scores (±0.01) for both students. Assuming that both tests measure the same kind of ability, who had the higher score?
Explanation / Answer
As
z = (x-u)/sigma
Then
z(Idonna) = (672-507)/125 = 1.32 [ANSWER]
z(JOnathan) = (26-21.1)/5.3 = 0.92 [ANSWER]
Hence, comparing the z scores, Idonna has a relatively higher score. [ANSWER: IDONNA]